Fatigue Strength: Maximum Stress Under Cyclic Loading

Fatigue strength refers to the maximum amount of cyclic stress a material can withstand before failure occurs under repeated loading and unloading. It is a critical property in engineering design, particularly in applications where components are subjected to fluctuating stresses over time, such as in aircraft structures or machinery.

fatigue strength

In this article, we will discuss the factors influencing fatigue strength, the use of Stress-Life Curve to determine fatigue strength, testing methods, and strategies for improving fatigue strength.

What is Fatigue Strength

Fatigue strength is the measure of a material’s ability to withstand repeated stress without failure. It is a critical property for assessing the durability of materials under cyclic loading conditions. Unlike static strength, which is the capacity to resist a single force application and is measured by ultimate tensile strength (UTS) or yield strength, fatigue strength is concerned with the material’s performance over many cycles.

Under cyclic stress, materials experience fatigue, leading to potential failure even when stresses are below the yield strength. Fatigue strength is usually expressed as the maximum stress for a given number of cycles a material can endure before failure. For example, a 6061-T6 aluminum indicate a fatigue strength of 129 MPa for fully reversed loading for 200,000 cycles.

Understanding fatigue strength is vital for predicting the service life and reliability of components and structures subjected to fluctuating stresses. It is a key consideration in the design of durable parts that are required to withstand repeated loading, and it helps prevent premature failures in critical applications like bridges and aircraft.

Factors Influencing Fatigue Strength

The variation in a material’s fatigue strength can be attributed to numerous factors, ranging from intrinsic material properties to external environmental conditions.

Material Properties

Material properties significantly influence fatigue strength. For example, the microstructure, such as grain size and distribution, directly affects the initiation and propagation of cracks. In general, finer grains enhance fatigue resistance.

The material’s hardness and tensile strength are also correlated with fatigue strength. In general, harder materials with higher tensile strength exhibit better resistance to fatigue.

Surface Finish and Treatment

Surface imperfections can significantly reduce fatigue strength, as they act as crack initiation sites. A highly polished surface finish typically increases fatigue strength. Surface treatments such as shot peening or carburizing are employed to induce compressive stresses on the surface, impeding crack initiation and propagation, thus enhancing fatigue performance.

Environmental Conditions

The environment in which a material operates can affect its fatigue strength. Corrosive environments can lead to chemical reactions at the surface, causing pitting and leading to early crack initiation. This process, known as corrosion fatigue, is a critical consideration in material selection and design for durability.


Temperature is a significant factor in fatigue strength. At elevated temperatures, materials tend to manifest a reduction in fatigue strength due to thermal softening, which facilitates the movement of dislocations. Conversely, some materials may experience an increase in fatigue strength at cryogenic temperatures, as the material becomes more brittle and resistant to wear.

Load Type and Frequency

The nature of the applied load, whether it be axial, torsional, or bending stresses, influences how and where cracks will initiate and grow. Furthermore, high load frequencies can lead to an increase in temperature, termed as thermomechanical fatigue, affecting material performance.

Stress-Life (S-N) Curve

The Stress-Life Curve, also known as the S-N curve, is a graphical representation of the relationship between the cyclic stress level applied to a material and the number of cycles it can withstand before failure. The curve is typically obtained through laboratory fatigue testing, where samples are subjected to controlled, repeated loading until they fail, and the results are plotted on a graph. The horizontal axis represents the number of cycles to failure (N), while the vertical axis represents the applied stress amplitude (S).

Stress-Life Curve

For ferrous metals and some other materials, the curve often exhibits a flattening or leveling off at higher cycle counts, known as the endurance limit, indicating that below a certain stress level, the material could theoretically withstand an infinite number of cycles without failure. Non-ferrous metals, like aluminum, do not typically show a distinct fatigue limit; instead, their S-N curve continues to slope downward, implying that fatigue failure can occur at any stress level given a sufficient number of cycles.

To determine fatigue strength using the S-N curve, an engineer would select the desired number of cycles for the component’s lifespan and then read the corresponding allowable stress level from the curve. This process ensures that the design stress does not exceed the fatigue strength for the intended number of cycles, thus minimizing the risk of fatigue failure.

The S-N curve is particularly useful in the design phase, allowing for the prediction of component life under variable loading conditions. In practice, safety factors are often applied to account for uncertainties in material properties, loading conditions, and environmental factors that could affect fatigue life.

Testing for Fatigue Strength

Rotary Bending

In rotary bending fatigue testing, a specimen is subjected to bending stresses as it rotates. Uniformly applied stress causes tensile and compressive forces throughout the specimen’s entire circumference, and the number of cycles until failure at a given stress level is recorded. The data collected are then plotted on an S-N curve.

Axial Loading

Axial loading is characterized by the application of forces along the specimen’s longitudinal axis, inducing a push-pull action. Precise control of stress magnitudes allows engineers to determine the axial fatigue limit. Under axial loading, the test provides essential data, such as the mean stress and alternating stress, essential for the design of components like shafts and columns.

Plane Bending

During plane bending tests, a specimen undergoes oscillating bending stresses on a single plane. The process closely simulates real-world scenarios where parts experience bending without rotation. Testing parameters, including the bending moment and the location of stress application, are vital for assessing a component’s resistance to plane bending fatigue.

Improving Fatigue Strength

Enhancing fatigue strength is critical for materials subject to cyclic loading. This usually involves alterations at the material and surface level, as well as in the overall design of the component.


Alloying is the process of adding other elements to a base metal, which can significantly improve a material’s fatigue strength. For example, adding chromium and nickel to steel can create stainless steel alloys, which offer superior fatigue resistance due to their enhanced hardness and grain refinement.

Heat Treatment

Heat treatment processes, such as quenching and tempering, can increase fatigue strength by altering the microstructure of the material. These processes produce tempered martensite in steels, which exhibits a balance between hardness and toughness, therefore improving resistance to fatigue cracks.

Shape Optimization

Optimizing the shape of a component to evenly distribute stress can lead to increased fatigue strength. Utilizing finite element analysis (FEA) tools, engineers can identify and modify stress concentrations in the design phase to produce geometries that are more resilient to cyclic loading.

Surface Treatments and Coatings

Surface treatments and coatings, like shot peening or nitriding, induce residual compressive stress on the surface of a component or create a hardened surface layer. These methods can effectively hinder the initiation and growth of fatigue cracks, thereby increasing fatigue strength.

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